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Calculations on the strength of structures are primarily based on the theory of elasticity. If the yield stress is exceeded plastic deformation occurs and the more complex theory of plasticity has to be used. Fatigue, however, and also stress corrosion, are phenomena which usually occur at relatively low stress levels, and elastic behavior may well be assumed to be applicable. The macroscopic elastic behavior of an isotropic material is characterized by three elastic constants, the elastic modulus or Young's modulus (E), shear modulus (G) and Poisson's ratio (ν). The well-known relation between the constants is E = 2G(1 + v).

In a structure, geometrical notches such as holes cannot be avoided. The notches are causing an inhomogeneous stress distribution, see Figure 3.1, with a stress concentration at the “root of the notch”. The (theoretical) stress concentration factor, K t , 6 is defined as the ratio between the peak stress at the root of the notch and the nominal stress which would be present if a stress concentration did not occur.

Keywords

Stress Concentration Peak Stress Tangential Stress Stress Gradient Circular Hole 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Peterson, R.E., Stress Concentration Factors. John Wiley & Sons, New York (1974). New edition by Pilkey, W.D. and Pilkey, D.F., Peterson's Stress Concentration Factors, 3rd rev. edn., John Wiley & Sons (2008).Google Scholar
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Some general references

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    Sih, G.C., Stress Analysis of Notch Problems. Mechanics of Fracture, Vol. 5. Noordhoff (1978).Google Scholar
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    Leven, M.M., Stress gradients in grooved bars and shafts. Proc. SESA, Vol. 13 (1955), pp. 207–213.Google Scholar
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    Savin, G.N., Stress distribution around holes. NASA TT F-607 (1970) [translated from Russian].Google Scholar
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    Neuber, H., Kerbspannungslehre. Springer, Berlin (1937). Translation: Theory of Notch Stresses. J.W. Edwards, Ann Arbor, Michigan (1946).Google Scholar

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© Springer-Verlag Berlin Heidelberg 2009

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